How do you graph $y = 9 {(3)}^{2 x}$ $y= 9(3)^(2x)$ using a table of values?

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How do you graph $y = 9 {(3)}^{2 x}$ $y= 9(3)^(2x)$ using a table of values?

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Answer 1 · 2018-08-05T03:06:54

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Please read the explanation.

Explanation:

$" "$
The function given

$y = f (x) = (9) {(3)}^{2 x}$ $color(red)(y=f(x)=(9)(3)^(2x)$

is an exponential function.

The parent function of the exponential function $y = a \cdot b^{x}$ $color(blue)(y=a*b^x$ has

base $b$ $color(red)(b$ with exponent $x$ $color(red)(x$

y-intercept: $(0, a)$ $color(red)((0,a)$

Conditions:

$b > 0$ $color(green)(b>0$

$b \neq 1$ $color(green)(b!=1$

Values of $x$ $color(red)(x$ are extremely small in the second quadrant close to the x-axis, but in the first quadrant you can observe the values of $y$ $color(red)(y$ increase rapidly.

Data table is given below:

enter image source here

Graph of $y = f (x) = (9) {(3)}^{2 x}$ $color(red)(y=f(x)=(9)(3)^(2x)$ :

You can also find the graphs of $y = 3^{2 x}$ $y=3^(2x)$ and $y = 2^{x}$ $y=2^x$ for comparison.

enter image source here

Hope it helps.

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How do you graph $y = 9 {(3)}^{2 x}$ $y= 9(3)^(2x)$ using a table of values?

1 Answer

Explanation:

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How do you graph $y = 9 {(3)}^{2 x}$ $y= 9(3)^(2x)$ using a table of values?